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242055310024 = 231124671114969
BaseRepresentation
bin1110000101101110011…
…1101110101011001000
3212010210020202210022101
43201123213232223020
512431212124410044
6303110525203144
723326233121213
oct3413347565310
9763706683271
10242055310024
1193722a04070
123aab3a004b4
1319a971430c8
14ba0362477a
15646a5e6cd4
hex385b9eeac8

242055310024 has 32 divisors (see below), whose sum is σ = 495314272800. Its totient is φ = 109980443520.

The previous prime is 242055309997. The next prime is 242055310027. The reversal of 242055310024 is 420013550242.

It is a super-2 number, since 2×2420553100242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242055309974 and 242055310001.

It is not an unprimeable number, because it can be changed into a prime (242055310027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340389 + ... + 774580.

It is an arithmetic number, because the mean of its divisors is an integer number (15478571025).

Almost surely, 2242055310024 is an apocalyptic number.

It is an amenable number.

242055310024 is an abundant number, since it is smaller than the sum of its proper divisors (253258962776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242055310024 is a wasteful number, since it uses less digits than its factorization.

242055310024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117453 (or 1117449 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 242055310024 its reverse (420013550242), we get a palindrome (662068860266).

The spelling of 242055310024 in words is "two hundred forty-two billion, fifty-five million, three hundred ten thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 2467 4934 9868 19736 27137 54274 108548 217096 1114969 2229938 4459876 8919752 12264659 24529318 49058636 98117272 2750628523 5501257046 11002514092 22005028184 30256913753 60513827506 121027655012 242055310024